6809785635114 has 384 divisors, whose sum is σ = 19590735790080. Its totient is φ = 1721735870400.

The previous prime is 6809785635113. The next prime is 6809785635131. The reversal of 6809785635114 is 4115365879086.

6809785635114 is a `hidden beast` number, since 6 + 8 + 0 + 9 + 7 + 8 + 563 + 51 + 14 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (6809785635113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 209883777 + ... + 209916219.

It is an arithmetic number, because the mean of its divisors is an integer number (51017541120).

Almost surely, 2^{6809785635114} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6809785635114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9795367895040).

6809785635114 is an abundant number, since it is smaller than the sum of its proper divisors (12780950154966).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6809785635114 is a wasteful number, since it uses less digits than its factorization.

6809785635114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32628 (or 32616 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 63.

The spelling of 6809785635114 in words is "six trillion, eight hundred nine billion, seven hundred eighty-five million, six hundred thirty-five thousand, one hundred fourteen".